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Finding the Fourth Proportional to 7,144.91, 10,724.28 and 3,449.74

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Solution

The fourth proportional to 7,144.91, 10,724.28 and 3,449.74 is: 5,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.91 : 10,724.28 = 3,449.74 : x
  2. Step 2: Convert to fraction form
    7,144.91/10,724.28 = 3,449.74/x
  3. Step 3: Cross multiply
    7,144.91x = 10,724.28 × 3,449.74
  4. Step 4: Simplify right side
    7,144.91x = 36,995,950.88
  5. Step 5: Solve for x
    x = 36,995,950.88/7,144.91
  6. Step 6: Final answer
    x = 5,177.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.